OFFSET
0,5
LINKS
Olivia Beckwith, Victor Luo, Stephen J. Miller, Karen Shen, Nicholas Triantafillou, Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, arXiv preprint arXiv:1112.3719 [math.PR], 2011-2012.
Olivia Beckwith, Victor Luo, Stephen J. Miller, Karen Shen, Nicholas Triantafillou, Distribution of Eigenvalues of Weighted, Structured Matrix Ensembles, Electronic Journal of Combinatorial Number Theory, Volume 15 (2015) #A21.
FORMULA
Conjecture: 558*(n-4)*(n+4)*a(n) +7*(-631*n^2+777*n+4600)*a(n-1) +4370*(n-1)*(2*n-3)*a(n-2)=0. - R. J. Mathar, Aug 08 2012
MAPLE
f:=n->31*binomial(2*n, n-4)+add(binomial(2*n, n-4-i)*(4+i), i=1..n-4);
[seq(f(n), n=0..40)];
MATHEMATICA
Table[31*Binomial[2n, n-4]+Sum[Binomial[2n, n-4-i](4+i), {i, n-4}], {n, 0, 30}] (* Harvey P. Dale, May 24 2016 *)
PROG
(PARI) a(n) = 31*binomial(2*n, n-4) + sum(i=1, n-4, binomial(2*n, n-4-i)*(4+i)); \\ Michel Marcus, Apr 05 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 06 2012
STATUS
approved